Respuesta :

Answer:  The perimeter of the triangle is:  "40" .
_________________________________________________
Explanation:
_________________________________________________
The perimeter is the sum of the lengths of all sides ;
   which equals:  "8 + 15 + (length of hypotenuse) ,

We need to find the length of the hypotenuse in order the find the perimeter.
_______________________

c² = a² + b² ;

c² = 8² + 15² ;

in which "c" is the length of the hypotenuse;  

Solve for "c" .

+√(c²) = √(8² + 15²) ;

   c = √ (64 + 225) ;

   c = +√289 

   c = 17 .
________________________________________________________
 So the perimeter of the triangle = 8 + 15 + 17 = 40 .
________________________________________________________